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Finding the Third Proportional to 7,452.94 and 15,794.25

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Solution

The third proportional to 7,452.94 and 15,794.25 is: 33,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.94 : 15,794.25 = 15,794.25 : x
  2. Step 2: Convert to fraction form
    7,452.94/15,794.25 = 15,794.25/x
  3. Step 3: Cross multiply
    7,452.94x = 15,794.25 × 15,794.25
  4. Step 4: Simplify right side
    7,452.94x = 249,458,333.06
  5. Step 5: Solve for x
    x = 249,458,333.06/7,452.94
  6. Step 6: Final answer
    x = 33,471.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.